Finding the Third Proportional to 410,042.50 and 577,178

Step by Step Solution

1. Step 1: Write the proportion equation
   410,042.50 : 577,178 = 577,178 : x
2. Step 2: Convert to fraction form
   410,042.50/577,178 = 577,178/x
3. Step 3: Cross multiply
   410,042.50x = 577,178 × 577,178
4. Step 4: Simplify right side
   410,042.50x = 333,134,443,684
5. Step 5: Solve for x
   x = 333,134,443,684/410,042.50
6. Step 6: Final answer
   x = 812,438.82